A right triangle has acute angles measuring 2x+6 degrees and 3x−26 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle.

Answer 1

The Triangle Angle Sum Theorem states that the sum of the measures of the angles in a triangle is always 180 degrees.

In this case, the acute angles of the right triangle are given as 2x+6 degrees and 3x-26 degrees. To find the third angle, we can subtract the sum of the two given angles from 180 degrees.

180 degrees - (2x+6 degrees + 3x-26 degrees)

Simplifying the expression inside the parentheses:

180 degrees - (5x - 20 degrees)

Using the distributive property:

180 degrees - 5x + 20 degrees

Combining like terms:

200 degrees - 5x

Therefore, the measure of the missing angle of the triangle is 200 degrees - 5x degrees.

Answer 2

shorten it

Answer 3

show me the equation

Answer 4

A right triangle has acute angles measuring 2x+6 degrees and 3x−26 degrees. Use the Triangle Angle Sum Theorem to find the measures of the missing angles of the triangle.